835426956672 has 1024 divisors, whose sum is σ = 3180441600000. Its totient is φ = 213983078400.

The previous prime is 835426956667. The next prime is 835426956673. The reversal of 835426956672 is 276659624538.

835426956672 is a `hidden beast` number, since 8 + 3 + 5 + 4 + 2 + 69 + 566 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (130636800) is a multiple of the sum of its prime factors (945).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (835426956673) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030119147 + ... + 1030119957.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900000).

Almost surely, 2^835426956672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835426956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590220800000).

835426956672 is an abundant number, since it is smaller than the sum of its proper divisors (2345014643328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

835426956672 is a wasteful number, since it uses less digits than its factorization.

835426956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 913 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 835426956672 in words is "eight hundred thirty-five billion, four hundred twenty-six million, nine hundred fifty-six thousand, six hundred seventy-two".